But you've hit on a problem: can we maintain global cooperative institutions in the face of an expansionist hegemonic power like China? I don't think we can, because anything controversial and it gets ripped apart.
The US and allied countries have their own national organizations, but even the EU is compromised on a number of issues, such as creeping fascism (Poland and Hungary) and the inability to take action against member states, or even coordinate in a pandemic. Even NATO is compromised by expansion to include such countries, and Turkey as well. So I'm questioning how useful large group multi-lateralism is for an organization like the WHO.
Edit: And I just scanned the last week of posts and can't see mention of anything like that. You're confusing with user koolba.